JEE Advanced 2015 Mathematics question
Let be continuous functions which are twice differentiable on the interval . Let the values of and at the points , 0 and 2 be as given in the following table:
In each of the intervals and the function never vanishes. Then the correct statement(s) is(are)
Answer: (B),(C)
Solution
Let : , , . By Rolle's theorem has at least one zero in and at least one in . Since never vanishes in either interval, keeps a constant
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